Spectral Methods on Group Rings in a Non-Commutative Situation

Datum

24.05.2019

Zeit

13:15 - 14:15

Sprecher

Marcus Greferath

Zugehörigkeit

Aalto University

Serie

TUD Mathematik Algebra: International Seminar

Sprache

en

Hauptthema

Mathematik

Host

Jun.-Prof. Dr. F. M. Schneider

Beschreibung

In algebraic coding theory, the BCH bound is probably one of the most impressive examples, showing how a Fourier transform can be used in order to construct codes of prescribed minimum distance. So far, this spectral technique is basically restricted to cyclic codes, however there is no strong reason to keep it restricted to this case. This talk is particularly interested in the scenario, where a non-commutative finite group describes the co-ordinate domain. We will sketch the successful development of a Fourier theory for this setting and observe a few strange facts. The talk reports on ongoing work.

Letztmalig verändert: 09.05.2019, 15:04:19